While Dundalk's Europa League journey came to a crashing halt with a heavy defeat to AEK Larnaca, there were a number of other ties in the competition to be decided on Thursday.
Jack Cork and Ashley Barnes scored extra-time goals as Burnley progressed to the Europa League third qualifying round following a 4-2 aggregate win over Aberdeen.
First-half goals from Clarets striker Chris Wood and Dons teenager Lewis Ferguson left the game locked at 2-2 on aggregate after 90 minutes.
Sean Dyche's Clarets went back in front at Turf Moor through Cork's close-range header, before Barnes' penalty sealed progression and a clash with Turkish club Istanbul Basaksehir in the next round.
Nikola Katic helped see off Croatian compatriots Osijek as his second-half goal was enough to see Rangers through with a 1-1 draw at Ibrox.
The centre-half headed home from close range eight minutes into the second half as the Light Blues doubled the lead given to them by Alfredo Morelos' first-leg strike.
Borna Barisic became the first player to net against Steven Gerrard's Gers with his last-minute strike, but the hosts clung on for a 2-1 aggregate win to set up a meeting with Slovenians Maribor.
Hibernian won 4-3 on aggregate against Asteras Tripolis following a nail-biting 1-1 draw in Greece.
John McGinn put Hibs ahead on the night but, after the hosts had forward Michalis Manias sent off three minutes into the second half, the visitors were forced to hang on following Kosmas Tsilianidis' 56th-minute equaliser.
The Scottish side will face Norwegian club Molde in the next round.
Dean Ebbe's 82nd-minute goal sent Welsh outfit The New Saints through after they drew 1-1 against the Lincoln Red Imps to secure a 3-2 aggregate success.
Juan Manuel Montesinos Romero levelled the tie for the hosts in Gibraltar late in the first half before Ebbe, who also scored in the first leg, pounced late on to set up a meeting with Danish side Midtjylland.
Paul Heatley's equaliser earned Northern Irish side Crusaders a 1-1 draw against Slovenian side Olimpija Ljubljana but they were knocked out 6-2 on aggregate.
Elsewhere, five-time winners Sevilla progressed following a 7-1 aggregate win over Hungarian side Ujpest, while Bundesliga club RB Leipzig overcame Swedish side Hacken 5-1 over two legs.
Bordeaux, Atalanta, Besiktas and Vitesse Arnhem were among the other clubs to progress.